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Finding the Third Proportional to 539.37 and 1,163.95

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Solution

The third proportional to 539.37 and 1,163.95 is: 2,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.37 : 1,163.95 = 1,163.95 : x
  2. Step 2: Convert to fraction form
    539.37/1,163.95 = 1,163.95/x
  3. Step 3: Cross multiply
    539.37x = 1,163.95 × 1,163.95
  4. Step 4: Simplify right side
    539.37x = 1,354,786.88
  5. Step 5: Solve for x
    x = 1,354,786.88/539.37
  6. Step 6: Final answer
    x = 2,511.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.